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Finding the Third Proportional to 209,622 and 324,837

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Solution

The third proportional to 209,622 and 324,837 is: 503,377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,622 : 324,837 = 324,837 : x
  2. Step 2: Convert to fraction form
    209,622/324,837 = 324,837/x
  3. Step 3: Cross multiply
    209,622x = 324,837 × 324,837
  4. Step 4: Simplify right side
    209,622x = 105,519,076,569
  5. Step 5: Solve for x
    x = 105,519,076,569/209,622
  6. Step 6: Final answer
    x = 503,377.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.